(A) Find the general solution for the displacement x = x(t) of the forced mechanical system...

(A) Find the general solution for the displacement x = x(t) of the forced mechanical system x´´ + 6x´ + 8x = 35 sin t. (B) Identify the steady-periodic part

Expert Solution

Colby Messinger answered 1 year ago

Use the method of Undetermined Coefficients to find a general solution of this system X=(x,y)^T Show...

Use the method of Undetermined Coefficients to find a general solution of this system X=(x,y)^T Show the details of your work: x' = 6 y + 9 t y' = -6 x + 5 Note answer is: x=A cos 4t + B sin 4t +75/36; y=B cos 6t - A sin 6t -15/6 t

Find general solution to the differential equation x'(t) = Ax(t) + v, A = [ 2...

Find general solution to the differential equation x'(t) = Ax(t) + v, A = [ 2 −2; 2 2] , v = (2 0) .

Find the general solution of the linear system x ̇1 = x1, x ̇2 = ax2...

Find the general solution of the linear system x ̇1 = x1, x ̇2 = ax2 Where a is a constant. Draw the phase planes for a = −1, 0, 1. Comment on the changes of the phase plane

Apply the eigenvalue method to find a general solution of thegiven system. x'1 = 5x1 -9x2,...

Apply the eigenvalue method to find a general solution of thegiven system. x'1 = 5x1 -9x2, x'2 =2x1 - x2

Find the general solution of the equation: y^(6)+y''' = t

Find the general solution of y 00 + y = (tan t) 2 .

Find the solution of the system x′=−4y, y′=3x, where primes indicate derivatives with respect to t,...

Find the solution of the system x′=−4y, y′=3x, where primes indicate derivatives with respect to t, that satisfies the initial condition x(0)=1, y(0)=−1.

find the general solution of y'''-4y''+5y'=e^x

. Find the general solution to the ODE: x^2 y" + 5xy' + 3y = x^2

y'(1+x^2)=(1/1-x)-3xy find the general solution.

Question